2. ESPN surveyed 1000 baseball fans in Southern California. Of the fans surveyed, 600 said that they were Dodger fans and 300 said that they were Angel fans. There were 25 fans who said they were both Dodger and Angel fans. Let D represent the Dodger fans and A represent the Angel fans. You may find it useful to create a venn diagram to answer the questions below, but you are not required to do so. a) N (DOA) b) N(DUA). c) N(DUA). d) N(DOA) e) P(DUA) 1) P(DUA) e) Are sets D and A mutually exclusive? Please justify your answer.